Simplify \dfrac {0.58 \times 0.58 \times 0.58 -0.001}{0.58 \times 0.58 +0.058 +0.01}

Options
a) 0.28
b) 0.48
c) 0.42
d) 0.37

Solution

As per question
\dfrac {0.58 \times 0.58 \times 0.58 -0.001}{0.58 \times 0.58 +0.058 +0.01}
\frac {0.58 \times 0.58 \times 0.58 -0.1 \times 0.1 \times 0.1}{0.58 \times 0.58 +0.58 \times 0.1 +0.1 \times 0.1}
Let a = 0.58 , b = 0.1
\frac{a^3 - b^3}{a^2 + ab + b^2}
a3 – b3 = (a-b) (a2+b2+ab)
\frac{a^3 - b^3}{a^2 + ab + b^2} = (a-b)
(a – b) = 0.58 – 0.1 = 0.48

Ans: b) 0.48

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